The solution to the given quadratic equation using the completing the square method is x = ±√19 + 4
Completing the square method
Quadratic equations are equation that has a degree of 2
Given the quadratic equation expressed as x² – 8x = 3
In order to complete the square, we will follow the steps below;
Half of the coefficient of x = -8/2 .= -4
Square of the half of coefficient =(-4)²
Add the result to both sides to have:
x² – 8x + (-4)² =3 + (-4)²
(x-4)² = 3 + 16
(x-4)² = 19
Take the square root of both sides
√(x-4)² = ±√19
x -4 = ±√19
x = ±√19 + 4
Hence the solution to the given quadratic equation using the completing the square method is x = ±√19 + 4
Learn more on completing the square here: https://brainly.com/question/13981588
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